Question

the city council has approved the building of a circular garden in front of city hall. the garden will have a radius of 12 feet. what is the area of the garden? 1 of 5 questions 144πft² 288πft² 24πft² 576πft²

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 12\) feet. Substitute \(r = 12\) into \(A=\pi r^{2}\), we get \(A=\pi\times(12)^{2}\).

Step3: Calculate \((12)^{2}\)

\((12)^{2}=12\times12 = 144\). So \(A = 144\pi\) square feet.

Answer:

A. \(144\pi ft^{2}\)